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Finding the Third Proportional to 55,420 and 114,781

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Solution

The third proportional to 55,420 and 114,781 is: 237,724.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,420 : 114,781 = 114,781 : x
  2. Step 2: Convert to fraction form
    55,420/114,781 = 114,781/x
  3. Step 3: Cross multiply
    55,420x = 114,781 × 114,781
  4. Step 4: Simplify right side
    55,420x = 13,174,677,961
  5. Step 5: Solve for x
    x = 13,174,677,961/55,420
  6. Step 6: Final answer
    x = 237,724.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.